491 citations
- Novo Nordisk (Denmark)DK9 papers
- Cornell UniversityUS5 papers
- University of OsloNO5 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Freie Universität BerlinDE3 papers
- Institut für SonnenphysikDE3 papers
- KTH Royal Institute of TechnologySE3 papers
- Trondheim KommuneNO3 papers
- University of Massachusetts AmherstUS3 papers
- Norwegian Academy of Science and LettersNO2 papers
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- Tomsk State Pedagogical UniversityRU2 papers
6 papers · 1 filter
Endomorphism rings of maximal rigid objects in cluster tubes
Dagfinn F. Vatne
We describe the endomorphism rings of maximal rigid objects in the cluster categories of tubes. Moreover, we show that they are gentle and have Gorenstein dimension 1. We analyse t…
Coloured quiver mutation for higher cluster categories
Aslak Bakke Buan, Hugh Thomas
We define mutation on coloured quivers associated to tilting objects in higher cluster categories. We show that this operation is compatible with the mutation operation on the tilt…
Relative homology and maximal l-orthogonal modules
Magdalini Lada
Let be an artin algebra. Iyama conjectures that the endomorphism ring of any two maximal -orthogonal modules, and , are derived equivalent. He proves the conjectu…
Relative support varieties
Petter Andreas Bergh, Øyvind Solberg
We define relative support varieties with respect to some fixed module over a finite dimensional algebra. These varieties share many of the standard properties of classical support…
Degeneration of A-infinity modules
Bernt Tore Jensen, Dag Madsen, Xiuping Su
In this paper we use A-infinity modules to study the derived category of a finite dimensional algebra over an algebraically closed field. We study varieties parameterising A-infini…
Infinite dimensional representations of canonical algebras
Idun Reiten, Claus Michael Ringel
The aim of this paper is to extend the structure theory for infinitely generated modules over tame hereditary algebras to the more general case of modules over concealed canonical…